Mathematical modeling of dynamical systems by generalized functions

• Autorzy: Otlacan E.
• Języki publikacji: EN

Abstrakty

EN

The distributions or generalized functions are linear and continuous functionals defined by the class of functions which become null outside of a compact set and have derivatives of any order. The calculus with distributions was used to the modeling of linear systems. Generalized functions are also useful in the study of non-linear systems. In this paper, it is proved that the distributions with compact support represent a first approximation in the mathematical modeling of a system with infinite fading memory. The demonstration of this statement is the main part of the paper. The mathematical tool used is the differential calculus in the locally-convex topological space of the histories of inputs in system. The last part refers to the ε-distribution, R. Vallée's recent concept, and enumerates some applications.

Słowa kluczowe

EN

distributions; fading memeory; F-M differentiability

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2009
• Tom: Vol. 35, no 1
• Strony: 7--13
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Otlacan E.

• Romanian Academy, Romanian Comittee for History and Philosophy of Science and Technology (CRIFST), Calea Victoriei 125, 061581 Bucharest, Romania,

Bibliografia

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